It can run uphill too.
Tim:As you know water/coolant can even run up hill, so finding the actual leak could take some time.I would start with all the obvious hoses, then you can check out the heat exchanger and the expansion tank. One of the more likely spots may be the water pump. When they start going bad they start leaking.I would think that if it is leaking only when it is running it is probably that pump. Easy enough to R & R.